6.2 Students will use proportions to solve percentage problems. Warm Up Rewrite each value as indicated. 1. as a percent 2. 25% as a fraction 3. as a decimal.

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Presentation transcript:

6.2 Students will use proportions to solve percentage problems. Warm Up Rewrite each value as indicated. 1. as a percent 2. 25% as a fraction 3. as a decimal as a fraction 48%

6.2 Students will use proportions to solve percentage problems. Explain It! Brand A Brand B

6.2 Students will use proportions to solve percentage problems. General Objective Students will use proportions to solve percentage problems.

6.2 Students will use proportions to solve percentage problems. Where do we use percents?

6.2 Students will use proportions to solve percentage problems. The Percent Proportion = number 100 part Whole (of) 12 is what % of 40?

6.2 Students will use proportions to solve percentage problems. What percent of 92 is 66? Example 1: Finding the Percent One Number Is of Another Think: What number is to 100 as 66 is to 92? = number 100 part whole Set up a proportion. Substitute. n = n  92 = 100  66 92n = 6600 Find the cross products. Method 1: Set up a proportion to find the percent. Simplify.

6.2 Students will use proportions to solve percentage problems. Additional Example 1 Continued n ≈ 72 Divide both sides by is approximately 72% of 92. Simplify. 92n =

6.2 Students will use proportions to solve percentage problems. What percent of 140 is 21? Think: What number is to 100 as 21 is to 140? = number 100 part whole Set up a proportion. Let n represent the percent. n = n  140 = 100  n = 2100 Find the cross products. Try It! Example 1 Method 1: Set up a proportion. Simplify.

6.2 Students will use proportions to solve percentage problems. n = 15 Divide both sides by is 15% of 140. Try It! Example 1 Continued Simplify. 140n =

6.2 Students will use proportions to solve percentage problems. Practice: Green: 1, 3 Red: 2, 5 Blue: 3, 4 1.What percent of 80 is 20? 2.What percent of 48 is 16? out of 1000 is what percent? 4.70 is what percent of 35? 5.A bin contains 120 ears of white and yellow corn. Of these, 78 ears are yellow. What percent of the ears of corn are yellow? What percent are white? 25% 33 1/3% 30% 200% 65%; 35%

6.2 Students will use proportions to solve percentage problems. Lesson Quiz: Part Find each percent. 1. What percent of 75 is 15? 20%

6.2 Students will use proportions to solve percentage problems. 1. What percent of 75 is 15? A. 5 B. 10 C. 20 D. 50 Lesson Quiz for Student Response Systems

6.2 Students will use proportions to solve percentage problems is what percent of 50? A. 12 B. 50 C. 240 D. 600 Lesson Quiz for Student Response Systems